Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems

Li, Li; Liao, Fang; Ren, Zhongkai

doi:10.1007/s12555-018-0353-x

Cited by 10 publications

(5 citation statements)

References 33 publications

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“…Remark 7 (Anderson and Moore [51]). For the GARE (25), if ( Ã−𝛼I, B) is stabilizable and ( Q1∕2 , Ã−𝛼I) is detectable, P is the unique positive definite solution. On the premise that ( Ã, B) is stabilizable and ( Q1∕2 , Ã) detectable, for any 𝛼 > 0, ( Ã − 𝛼I, B) is stabilizable and ( Q1∕2 , Ã − 𝛼I) is detectable, which guarantees the existence of P in Theorem 1.…”

Section: Optimal Preview Controller Of the Augmented Systemmentioning

confidence: 99%

“…Hereafter, Gershon and Shaked extended the work of Shaked and De Souza [20] to systems with stochastic uncertainties [22] and state-delayed certainties [23]. For uncertain discrete-time systems, Li et al investigated the preview tracking control problem with robust performance [24] and obtained more general results [25]. Besides, Kojima also did a lot of work on the H ∞ preview control problem [26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

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H_∞optimal preview tracking control problem with disturbance attenuation

Liu

2022

Asian Journal of Control

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In this paper, the H∞ optimal preview tracking control problem of continuous‐time linear system with external disturbance is studied, where the reference signal is previewed and its amplitude does not decay. First, an augmented system with error vector, original system state derivative, and internal model state derivative is constructed, which transforms the tracking problem into the H∞ optimal output regulation problem. Second, the H∞ optimal control method is used to design the controller, and the output regulation of the augmented system is achieved by finding the upper bound of the discount factor. Then the optimal controller, including error integral, preview feed‐forward compensation, and internal model compensation, is obtained for the original problem, and meanwhile the sufficient conditions are also provided to guarantee the existence of the controller. Finally, both theoretical and simulation results show that under the proposed controller, the closed‐loop system can achieve asymptotic tracking and has robustness against the disturbance.

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Section: Optimal Preview Controller Of the Augmented Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

H_∞optimal preview tracking control problem with disturbance attenuation

Liu

2022

Asian Journal of Control

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“…In recent years, the issue of combining tracking control and preview approaches to design system controllers has attracted a lot of interest among researchers. In References 28 and 29, a preview tracking law was designed for discrete‐time systems. In Reference 30, the authors investigates the design of the preview law of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy sliding mode tracking control of discrete‐time nonlinear interconnected systems via a previewable approach

Qin,

Ren

2024

Adaptive Control & Signal

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SummaryThis article investigates the fuzzy sliding mode tracking problem for discrete‐time nonlinear interconnected systems (ICSs) via a previewable information approach. First, an augmented system containing tracking errors and previewable reference and disturbance signals is established for discrete‐time nonlinear ICSs according to a previewable length. Second, novel sliding surfaces are given and some sufficient conditions of making the sliding motion asymptotically stable are derived in term of linear matrix inequalities (LMIs). Next, fuzzy sliding mode control (SMC) laws are designed so that the controlled system can reach the sliding surfaces and keep on them thereafter, and compared to not having previewable signals, these designed control laws can also enable system outputs to better track the reference signals asymptotically. Finally, a simulation example is given to demonstrate the effectiveness of the proposed control law.

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“…Wu et al (2017) discussed the optimal preview controller design of linear continuous-time stochastic control systems in finite-time horizon via an augmented error system method. Recently, the authors investigated robust preview tracking control for uncertain linear discrete-time systems in Li et al (2020). Yu et al (2021) revisited the observer-based robust preview tracking control problem for Lipschitz nonlinear discrete-time systems.…”

Section: Introductionmentioning

confidence: 99%

Robust preview control of nonlinear uncertain discrete-time time-delayed singular systems via sliding mode approach

Ren

2022

Transactions of the Institute of Measurement and Control

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This paper addresses the problem of preview sliding mode control for a class of nonlinear uncertain discrete-time singular systems with time-delays. A difference operator approach is used to deal with the controlled system such that the derived augmented systems including preview information of reference signal can be constructed. A suitable surface is proposed in the sense of admissibility by the free-weighed matrix technique. Based on this, a sliding mode controller with preview information is constructed incorporating with the tracking error to ensure that the closed-loop control system reaches the designed sliding mode surface within finite time. To apply the proposed control scheme to the practical engineering systems, the sliding mode tracking controller with preview information is developed for a DC motor based on the proposed control approach. The comparative experiment results demonstrate that the preview information of reference signal can improve the tracking performance.

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Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems

Cited by 10 publications

References 33 publications

H_∞optimal preview tracking control problem with disturbance attenuation

H_∞optimal preview tracking control problem with disturbance attenuation

Fuzzy sliding mode tracking control of discrete‐time nonlinear interconnected systems via a previewable approach

Robust preview control of nonlinear uncertain discrete-time time-delayed singular systems via sliding mode approach

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Robust Tracking Control with Preview Action for Uncertain Discrete-time Systems

Cited by 10 publications

References 33 publications

H∞optimal preview tracking control problem with disturbance attenuation

H∞optimal preview tracking control problem with disturbance attenuation

Fuzzy sliding mode tracking control of discrete‐time nonlinear interconnected systems via a previewable approach

Robust preview control of nonlinear uncertain discrete-time time-delayed singular systems via sliding mode approach

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Product

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H_∞optimal preview tracking control problem with disturbance attenuation

H_∞optimal preview tracking control problem with disturbance attenuation